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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 211 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Which is bigger: −1/6 or −1/7? (a) −1/6 (b) −1/7
  2. 2.What is (−1/6) + 7/8? (a) −17/24 (b) −25/24 (c) 3/7 (d) 17/24
  3. 3.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) −12/21 (d) 4/7
  4. 4.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  5. 5.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −6/21 (c) −2/7 (d) −7/2
  6. 6.Which is bigger: −7/8 or −2/3? (a) −2/3 (b) −7/8
  7. 7.Is −7/9 positive or negative? (a) Negative (b) Positive
  8. 8.What is 1/8 + (−2/7)? (a) 23/56 (b) 9/56 (c) −9/56 (d) −1/15
  9. 9.Is −2/(−6) positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/4) + 1/2? (a) −3/4 (b) 0 (c) 1/4 (d) −1/4
  11. 11.Is 3/4 positive or negative? (a) Positive (b) Negative
  12. 12.What is 2/3 − (−1/5)? (a) 13/15 (b) 7/15 (c) 3/8 (d) −13/15
  13. 13.Write −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) 8/9 (c) −8/9 (d) −9/8
  14. 14.What is (−5/9) + (−4/9)? (a) 1 (b) −1/9 (c) −1/2 (d) −1
  15. 15.What is 2/3 + (−3/8)? (a) −7/24 (b) 25/24 (c) −1/11 (d) 7/24
  16. 16.What is (−3/5) + (−5/9)? (a) −4/7 (b) −2/45 (c) −52/45 (d) 52/45
  17. 17.Is 8/8 positive or negative? (a) Positive (b) Negative
  18. 18.Which is bigger: −4/7 or 3/7? (a) 3/7 (b) −4/7
  19. 19.Which is bigger: −1/2 or 6/7? (a) 6/7 (b) −1/2
  20. 20.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −15/25 (d) −3/5
  21. 21.Which is smaller: −1/5 or −1/6? (a) −1/6 (b) −1/5
  22. 22.What is (−7/8) − (−1/3)? (a) −29/24 (b) 13/24 (c) −13/24 (d) −6/11
  23. 23.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −5/20 (d) 1/4
  24. 24.What is the additive inverse of −1/4? (a) 4 (b) −1/4 (c) 1/4 (d) −4
  25. 25.Which is bigger: −1/2 or −1/7? (a) −1/7 (b) −1/2
  26. 26.Is 2/7 positive or negative? (a) Positive (b) Negative
  27. 27.Is 3/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −4/12 (c) −1/3 (d) −3/1
  29. 29.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  30. 30.What is (−3/4) + 1/7? (a) −2/11 (b) −17/28 (c) −25/28 (d) 17/28
  31. 31.Which is bigger: −2/3 or 5/6? (a) 5/6 (b) −2/3
  32. 32.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) 8 (c) −8 (d) 1/8
  33. 33.What is (−7/8) + (−4/5)? (a) 67/40 (b) −3/40 (c) −67/40 (d) −11/13
  34. 34.What is (−2/5) − (−2/3)? (a) 0 (b) −16/15 (c) 4/15 (d) −4/15
  35. 35.Which is smaller: −7/9 or −1/3? (a) −1/3 (b) −7/9
  36. 36.What is (−2/3) + (−2/3)? (a) −2/3 (b) 0 (c) 4/3 (d) −4/3
  37. 37.Which is smaller: −2/3 or −5/9? (a) −2/3 (b) −5/9
  38. 38.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  39. 39.Is −8/4 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−5/9) + 2/9? (a) −7/9 (b) −1/6 (c) −1/3 (d) 1/3

Answer key

  1. −1/7
  2. 17/24
  3. −4/7
  4. −1/4
  5. −2/7
  6. −2/3
  7. Negative
  8. −9/56
  9. Positive
  10. 1/4
  11. Positive
  12. 13/15
  13. −8/9
  14. −1
  15. 7/24
  16. −52/45
  17. Positive
  18. 3/7
  19. 6/7
  20. −3/5
  21. −1/5
  22. −13/24
  23. −1/4
  24. 1/4
  25. −1/7
  26. Positive
  27. Negative
  28. −1/3
  29. Positive
  30. −17/28
  31. 5/6
  32. −8
  33. −67/40
  34. 4/15
  35. −7/9
  36. −4/3
  37. −2/3
  38. Positive
  39. Negative
  40. −1/3

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